If you're going right with your irons, please check these points:
1)Are your toes square and parallel to the target line (as with a more 'traditional' stance). The toes must remain square, not be
2)When you make an MGS upper-body twist closed, does your club unintentionally rotate open?
3)After the MGS twist during set-up, there should be no rotation of the spine/body during the backswing
4)If you make a purely MGS backswing, but do something from your old swing coming down (the old compensatory move you no longer need), then too would you push right. Try to DO NOTHING in the downswing. Then the club drops down to hi-high or so with gravity, and the hips fire at the correct time, because the upper-body is so 'locked up'
IF you do everything MGS, you can have a very specific cause for every fault, and it is universal to every human body - no discrimination - because all our joints work in exactly the same manner.